98.83 is what percent of 250.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 250.2 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 250.2, so we can write it down as 100%=250.2.
4. We know, that x% equals 98.83 of the output value, so we can write it down as x%=98.83.
5. Now we have two simple equations:
1) 100%=250.2
2) x%=98.83
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=250.2/98.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.83 is what percent of 250.2

100%/x%=250.2/98.83
(100/x)*x=(250.2/98.83)*x       - we multiply both sides of the equation by x
100=2.5316199534554*x       - we divide both sides of the equation by (2.5316199534554) to get x
100/2.5316199534554=x
39.500399680256=x
x=39.500399680256

now we have:
98.83 is 39.500399680256% of 250.2